Geodesic
The rank of the multiplication map for sections of bundles on curves
Bollettino della Unione matematica italiana, Série 8, 4B (2001) no. 3, pp. 677-683.

Voir la notice de l'article provenant de la source Biblioteca Digitale Italiana di Matematica

Sia $X$ una curva liscia di genere $g\geq2$ ed $A$, $B$ fasci coerenti su $X$. Sia $\mu_{A, B}\colon H^{0} (X, A) \otimes H^{0} (X, B) \to H^{0} (X, A \otimes B)$ l'applicazione di moltiplicazione. Qui si dimostra che $\mu_{A, B}$ ha rango massimo se $A \cong \omega_{X}$ e $B$ è un fibrato stabile generico su $X$. Diamo un'interpretazione geometrica dell'eventuale non-surgettività di $\mu_{A, B}$ quando $A, B$ sono fibrati in rette generati da sezioni globali e $\deg(A) + \deg(B) \geq 3g-1$. Studiamo anche il caso $\text{dim} (\text{Coker} (\mu_{A, B})) \geq 2$. 
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Ballico, E. The rank of the multiplication map for sections of bundles on curves. Bollettino della Unione matematica italiana, Série 8, 4B (2001) no. 3, pp. 677-683. http://geodesic.mathdoc.fr/item/BUMI_2001_8_4B_3_a7/

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